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Diffstat (limited to 'four_levels_with_polarization.m')
-rw-r--r-- | four_levels_with_polarization.m | 79 |
1 files changed, 79 insertions, 0 deletions
diff --git a/four_levels_with_polarization.m b/four_levels_with_polarization.m new file mode 100644 index 0000000..6bf3d44 --- /dev/null +++ b/four_levels_with_polarization.m @@ -0,0 +1,79 @@ +1; + +Nlevels=4; +w1=1e9; +w2=0; +w_hpf=6800; +w3=w_hpf; +w4=w_hpf+.1; % separation of levels |3> and |4> somewhat like Zeeman splitting +w12=w1-w2; +w13=w1-w3; + +% +% ----------- |1> +% / \ +% E_d / \ +% / \ E_p +% / \ +% -------- |3> \ +% -------- |4> \ +% \ +% ___________ |2> + + +% unperturbed Hamiltonian energy levels +levels_energy=[ w1, 0, w3, w4]; +levels_energy=levels_energy*hbar; +H0=zeros(Nlevels); +H0=diag(levels_energy); +%for i=1:Nlevels + %H0(i,i)=levels_energy(i); +%endfor + +% decay matrix g(i,j) correspnds to decay from i-->j +gamma=6; +gamma_23=.001; +g_decay=zeros(Nlevels); +g_decay(1,2)=gamma; %upper level decay +g_decay(1,3)=gamma; %upper level decay +g_decay(1,4)=gamma; %upper level decay +g_decay(3,2)=gamma_23; % lower levels mixing +g_decay(2,3)=gamma_23; % lower levels mixing +g_decay(4,2)=gamma_23; % lower levels mixing +g_decay(2,4)=gamma_23; % lower levels mixing + + +% dipole matrix +dipole_elements.left=zeros(Nlevels); +dipole_elements.left(1,2)=1; +dipole_elements.left(2,1)=dipole_elements.left(1,2); +dipole_elements.left(1,3)=0; +dipole_elements.left(3,1)=dipole_elements.left(1,3); +dipole_elements.left(1,4)=0; +dipole_elements.left(4,1)=dipole_elements.left(1,4); + +dipole_elements.right=zeros(Nlevels); +dipole_elements.right(1,2)=0; +dipole_elements.right(2,1)=dipole_elements.right(1,2); +dipole_elements.right(1,3)=1; +dipole_elements.right(3,1)=dipole_elements.right(1,3); +dipole_elements.right(1,4)=1; +dipole_elements.right(4,1)=dipole_elements.right(1,4); + +dipole_elements.linear=zeros(Nlevels); +dipole_elements.linear(1,2)=0; +dipole_elements.linear(2,1)=dipole_elements.linear(1,2); +dipole_elements.linear(1,3)=0; +dipole_elements.linear(3,1)=dipole_elements.linear(1,3); +dipole_elements.linear(1,4)=0; +dipole_elements.linear(4,1)=dipole_elements.linear(1,4); + +maximum_dipole_elements=dipole_elements.linear + dipole_elements.left + dipole_elements.right; + +%defasing matrix +g_deph=0; +g_dephasing=zeros(Nlevels); +% dephasing only for non zero dipole elements (am I right?) +g_dephasing=g_deph*(maximum_dipole_elements != 0); + + |